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14731947576972 = 2234857157933601
BaseRepresentation
bin1101011001100000110010…
…0000001000111010001100
31221011100201202102102020000
43112120030200020322030
53412332012034430342
651155432511524300
73050230252165653
oct326301440107214
957140652372200
1014731947576972
11476a86938975a
12179b197529690
1382b2a8107092
1438d05c70c19a
151a8329a8944c
hexd660c808e8c

14731947576972 has 120 divisors (see below), whose sum is σ = 38582726342160. Its totient is φ = 4901666918400.

The previous prime is 14731947576949. The next prime is 14731947576977. The reversal of 14731947576972 is 27967574913741.

14731947576972 is a `hidden beast` number, since 1 + 4 + 7 + 3 + 1 + 9 + 47 + 576 + 9 + 7 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14731947576972.

It is not an unprimeable number, because it can be changed into a prime (14731947576977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 438420972 + ... + 438454572.

It is an arithmetic number, because the mean of its divisors is an integer number (321522719518).

Almost surely, 214731947576972 is an apocalyptic number.

14731947576972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14731947576972 is an abundant number, since it is smaller than the sum of its proper divisors (23850778765188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14731947576972 is a wasteful number, since it uses less digits than its factorization.

14731947576972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36053 (or 36042 counting only the distinct ones).

The product of its digits is 560105280, while the sum is 72.

The spelling of 14731947576972 in words is "fourteen trillion, seven hundred thirty-one billion, nine hundred forty-seven million, five hundred seventy-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 857 1579 1714 2571 3158 3428 4737 5142 6316 7713 9474 10284 14211 15426 18948 23139 28422 30852 33601 42633 46278 56844 67202 69417 85266 92556 100803 127899 134404 138834 170532 201606 255798 277668 302409 403212 511596 604818 907227 1209636 1353203 1814454 2706406 2721681 3628908 4059609 5412812 5443362 8119218 10886724 12178827 16238436 24357654 28796057 36536481 48715308 53055979 57592114 73072962 86388171 106111958 109609443 115184228 146145924 159167937 172776342 212223916 219218886 259164513 318335874 345552684 438437772 477503811 518329026 636671748 777493539 955007622 1036658052 1432511433 1554987078 1910015244 2332480617 2865022866 3109974156 4297534299 4664961234 5730045732 8595068598 9329922468 17190137196 45468974003 90937948006 136406922009 181875896012 272813844018 409220766027 545627688036 818441532054 1227662298081 1636883064108 2455324596162 3682986894243 4910649192324 7365973788486 14731947576972